Integral group rings with all central units trivial: solvable groups

DOI10.1007/s13226-018-0260-0zbMath1400.16028arXiv1612.08344OpenAlexW3099178980WikidataQ130104980 ScholiaQ130104980MaRDI QIDQ1799432

Sugandha Maheshwary

Publication date: 18 October 2018

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08344

zbMATH Keywords

nilpotent groupssolvable groupsintegral group ringsunit grouptrivial central unitscut-property

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

A generalization of strongly monomial groups ⋮ Gruenberg-Kegel graphs: cut groups, rational groups and the prime graph question ⋮ Units and augmentation powers in integral group rings ⋮ Abelianization of the unit group of an integral group ring ⋮ Global and local properties of finite groups with only finitely many central units in their integral group ring ⋮ Group rings and the RS property

Cites Work

• Schur indices of some groups of Lie type
• Integral group rings with all central units trivial
• Central height of the unit group of an integral group ring
• Finite Groups in Which Every Element Has Prime Power Order
• Semi-rational solvable groups
• Integral Group Rings with Trivial Central Units
• INTEGRAL GROUP RINGS WITH TRIVIAL CENTRAL UNITS II
• On enumerative equivalence of group elements

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